Three linear preservers on infinite triangular matrices

Abstract

We consider three linear preserver problems on the algebra of infinite triangular matrices over fields. We characterize the maps preserving invertible and noninvertible matrices, the surjective maps preserving inverses and the surjective maps preserving rank permutability.

Keywords:

• linear preserver problem
• infinite triangular matrices
• invertibility preservers
• rank permutability preservers

AMS Subject Classifications:

• 15A86
• 15A04